100201121311100 has 144 divisors (see below), whose sum is σ = 234511718622720. Its totient is φ = 37041996211200.

The previous prime is 100201121311087. The next prime is 100201121311127. The reversal of 100201121311100 is 1113121102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25587620 + ... + 29242580.

Almost surely, 2^{100201121311100} is an apocalyptic number.

100201121311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201121311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117255859311360).

100201121311100 is an abundant number, since it is smaller than the sum of its proper divisors (134310597311620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100201121311100 is a wasteful number, since it uses less digits than its factorization.

100201121311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655348 (or 3655341 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100201121311100 its reverse (1113121102001), we get a palindrome (101314242413101).

The spelling of 100201121311100 in words is "one hundred trillion, two hundred one billion, one hundred twenty-one million, three hundred eleven thousand, one hundred".